Solve 36/136=2.34+x/36+x

$$\frac { 36 } { 136 } = \frac { 2.34 + x } { 36 + x }$$

Solve for x

$$x=9.7776$$

Steps for Solving Linear Equation

Variable x cannot be equal to -36 since division by zero is not defined. Multiply both sides of the equation by 136\left(x+36\right), the least common multiple of 136,36+x.

$$\left(x+36\right)\times 36=136\left(2.34+x\right)$$

Use the distributive property to multiply x+36 by 36.

$$36x+1296=136\left(2.34+x\right)$$

Use the distributive property to multiply 136 by 2.34+x.

$$36x+1296=318.24+136x$$

Subtract 136x from both sides.

$$36x+1296-136x=318.24$$

Combine 36x and -136x to get -100x.

$$-100x+1296=318.24$$

Subtract 1296 from both sides.

$$-100x=318.24-1296$$

Subtract 1296 from 318.24 to get -977.76.

$$-100x=-977.76$$

Divide both sides by -100.

$$x=\frac{-977.76}{-100}$$

Expand \frac{-977.76}{-100} by multiplying both numerator and the denominator by 100.

$$x=\frac{-97776}{-10000}$$

Reduce the fraction \frac{-97776}{-10000} to lowest terms by extracting and canceling out -16.

$$x=\frac{6111}{625}$$